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Finding the Third Proportional to 84,002 and 129,970

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Solution

The third proportional to 84,002 and 129,970 is: 201,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002 : 129,970 = 129,970 : x
  2. Step 2: Convert to fraction form
    84,002/129,970 = 129,970/x
  3. Step 3: Cross multiply
    84,002x = 129,970 × 129,970
  4. Step 4: Simplify right side
    84,002x = 16,892,200,900
  5. Step 5: Solve for x
    x = 16,892,200,900/84,002
  6. Step 6: Final answer
    x = 201,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.